Global finite-time stability of differential equation with discontinuous right-hand side

Abstract

In the paper new sufficient conditions for global finite-time stability of a stationary solution to differential equation with discontinuous right-hand side are given. Time-dependent Lyapunov function which is only continuous is used. Properties of Lyapunov function are described by presubdifferential and contingent derivative.

Keywords

• stability
• global finite-time stability
• ordinary differential equations
• lyapunov function
• dini derivative
• contingent derivative
• presubdifferential